Question

In the figure given below, $\angle$COD = ${150}^{\circ }$. Choose the correct option.

• A. AOB =
• B. BOC =
• C. AOD =
• D. AOD =

Answer 1

The correct option is A

AOB =

In the above figure, since $\angle$AOB and $\angle$COD are vertically opposite angles, they are equal, So $\angle$AOB = 150^o.

Since BOD is a straight line, $\angle$BOD =${180}^{\circ }$,

We know that $\angle$DOC = ${150}^{\circ }$,

From the figure:

$\angle$BOC + $\angle$COD = $\angle$BOD

$\Rightarrow$ $\angle$BOC + ${150}^{\circ }$ = ${180}^{\circ }$

$\Rightarrow$ $\angle$BOC = ${180}^{\circ }$ - ${150}^{\circ }$ = ${30}^{\circ }$